#include <fstream>
#include <iostream>
#include <string>
long total = 0;

void brackets(std::string& source, std::string s, int openned, int closed, int depth) {
    if (source.size()%2) {
        return;
    }
    if (depth > source.size()) {
        return;
    }
    if ((openned - closed == 0) && (s.size() == source.size())) {
        if ((s[0] != ')') && (s[s.size()-1] != '(')) {
            int checkBal = 0;
            for (int i = 0; i < s.size(); ++i) {
                if (s[i] == '(') checkBal++;
                if (s[i] == ')') checkBal--;
                if (checkBal < 0) break;
            }
            if (checkBal < 0) return;
            total++;
        }
    }
    if (source[depth] == '(') {
        brackets(source, s+="(", openned+1, closed, depth+1);
    }
    if (source[depth] == ')') {
        brackets(source, s+=")", openned, closed+1, depth+1);
    }
    if (source[depth] == '?') {
        brackets(source, s+="(", openned+1, closed, depth+1);
        s[s.size()-1] = '\0';
        s.resize(s.size()-1);
        brackets(source, s+=")", openned, closed+1, depth+1);
        s[s.size()-1] = '\0';
        s.resize(s.size()-1);
    }
}

int main() {
    std::ifstream FileIn("./input.txt");
    std::string source;
    FileIn >> source;
    //std::cout << source;
    brackets(source, "", 0, 0, 0);
    std::cout << total << std::endl;
    return 0;
}